Drawing examplesfrom mathematics, physics, chemistry, biology,
engineering, economics, medicine, politics, and sports, this book
illustrates how nonlinear dynamics plays a vital role in our world.
Examples cover a wide range from the spread and possible control of
communicable diseases, to the lack of predictability in long-range
weather forecasting, to competition between political groups and
nations.
After an introductorychapter that explores what it means to be
nonlinear, the book covers the mathematical conceptssuch as limit
cycles, fractals, chaos, bifurcations, and solitons, that will be
applied throughout the book. Numerous computer simulations and
exercises allow students to explore topics in greater depth using
the Maple computer algebra system. The mathematical level of the
text assumes prior exposure to ordinary differential equations and
familiarity with the wave and diffusion equations.No prior
knowledge of Maple is assumed.
The book may be used at the undergraduate or graduate level to
prepare science and engineering students for problems in the "real
world," or for self-study by practicing scientists and
engineers."
General
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